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Energy consumption investigation for a new car-following model considering driver’s memory and average speed of the vehicles

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  • Jin, Zhizhan
  • Yang, Zaili
  • Ge, Hongxia

Abstract

In this paper, a modified car-following model is proposed by taking into account the influence of the average speed effect of vehicles and driver’s memory on traffic flow basing on two velocity difference model (TVDM). The stability conditions are obtained through the linear stability analysis. The time-dependent Ginzburg–Landau (TDGL) equation and the modified Korteweg–de Vries (mKdV) equation are derived in the unstable areas by means of nonlinear analysis, respectively. The TDGL and mKdV equations are constructed to describe the traffic behavior near the critical point. The evolution of traffic congestion and the corresponding energy consumption are discussed. The results from numerical simulations are consistent with the ones from theoretical analysis. It is found that the extended model can not only reduce energy consumption but also enhance the stability of traffic flow.

Suggested Citation

  • Jin, Zhizhan & Yang, Zaili & Ge, Hongxia, 2018. "Energy consumption investigation for a new car-following model considering driver’s memory and average speed of the vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 1038-1049.
    • Handle: RePEc:eee:phsmap:v:506:y:2018:i:c:p:1038-1049
    DOI: 10.1016/j.physa.2018.05.034
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    as
    1. Nagatani, Takashi, 1998. "Modified KdV equation for jamming transition in the continuum models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 599-607.
    2. Yu, Shaowei & Huang, Mengxing & Ren, Jia & Shi, Zhongke, 2016. "An improved car-following model considering velocity fluctuation of the immediately ahead car," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 1-17.
    3. Ge, H.X. & Cheng, R.J. & Li, Z.P., 2008. "Two velocity difference model for a car following theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5239-5245.
    4. Zhang, Jian & Tang, Tie-Qiao & Yu, Shao-Wei, 2018. "An improved car-following model accounting for the preceding car’s taillight," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1831-1837.
    5. Xin, Qi & Yang, Nan & Fu, Rui & Yu, Shaowei & Shi, Zhongke, 2018. "Impacts analysis of car following models considering variable vehicular gap policies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 338-355.
    6. Jiang, Rui & Wu, Qing-Song, 2007. "The night driving behavior in a car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 297-306.
    7. Ou, Hui & Tang, Tie-Qiao, 2018. "Impacts of moving bottlenecks on traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 131-138.
    8. Ou, Hui & Tang, Tie-Qiao, 2018. "An extended two-lane car-following model accounting for inter-vehicle communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 260-268.
    9. Guo, Lantian & Zhao, Xiangmo & Yu, Shaowei & Li, Xiuhai & Shi, Zhongke, 2017. "An improved car-following model with multiple preceding cars’ velocity fluctuation feedback," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 436-444.
    10. Tang, Tie-Qiao & Zhang, Jian & Liu, Kai, 2017. "A speed guidance model accounting for the driver’s bounded rationality at a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 45-52.
    11. Xue, Yu & Kang, San-Jun & Lu, Wei-Zhen & He, Hong-Di, 2014. "Energy dissipation of traffic flow at an on-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 398(C), pages 172-178.
    12. Peng, Guanghan & He, Hongdi & Lu, Wei-Zhen, 2016. "A new car-following model with the consideration of incorporating timid and aggressive driving behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 197-202.
    13. Sun, Dihua & Kang, Yirong & Yang, Shuhong, 2015. "A novel car following model considering average speed of preceding vehicles group," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 103-109.
    14. Nagatani, Takashi, 1999. "TDGL and MKdV equations for jamming transition in the lattice models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 581-592.
    15. Shao-Wei Yu & Zhong-Ke Shi, 2015. "An improved car-following model with two preceding cars' average speed," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(08), pages 1-15.
    16. Tang, Tie-Qiao & Wang, Tao & Chen, Liang & Shang, Hua-Yan, 2017. "Analysis of the trip costs of a traffic corridor with two entrances and one exit under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 720-729.
    17. Chen, Jing & Lin, Lan & Jiang, Rui, 2017. "Assigning on-ramp flows to maximize capacity of highway with two on-ramps and one off-ramp in between," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 347-357.
    18. Tang, Tie-Qiao & Huang, Hai-Jun & Shang, Hua-Yan, 2017. "An extended macro traffic flow model accounting for the driver’s bounded rationality and numerical tests," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 322-333.
    19. Yu, Shaowei & Shi, Zhongke, 2015. "The effects of vehicular gap changes with memory on traffic flow in cooperative adaptive cruise control strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 206-223.
    20. Jiang, Rui & Hu, Mao-Bin & Zhang, H.M. & Gao, Zi-You & Jia, Bin & Wu, Qing-Song, 2015. "On some experimental features of car-following behavior and how to model them," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 338-354.
    21. Tang, Tie-Qiao & Rui, Ying-Xu & Zhang, Jian & Shang, Hua-Yan, 2018. "A cellular automation model accounting for bicycle’s group behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1782-1797.
    22. Li, Zhipeng & Li, Wenzhong & Xu, Shangzhi & Qian, Yeqing & Sun, Jian, 2015. "Traffic behavior of mixed traffic flow with two kinds of different self-stabilizing control vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 729-738.
    23. Jie Zhou & Zhong-Ke Shi, 2015. "Lattice hydrodynamic model for bidirectional pedestrian flow with the consideration of pedestrian density difference," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(08), pages 1-20.
    24. Tang, Tie-Qiao & Wang, Tao & Chen, Liang & Huang, Hai-Jun, 2018. "Analysis of the equilibrium trip cost accounting for the fuel cost in a single-lane traffic system without late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 451-457.
    25. Li, Xiaoqin & Fang, Kangling & Peng, Guanghan, 2017. "A new lattice model accounting for multiple optimal current differences’ anticipation effect in two-lane system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 814-826.
    26. Tang, Tie-Qiao & Luo, Xiao-Feng & Zhang, Jian & Chen, Liang, 2018. "Modeling electric bicycle’s lane-changing and retrograde behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1377-1386.
    27. Xue, Shuqi & Jia, Bin & Jiang, Rui & Li, Xingang & Shan, Jingjing, 2017. "An improved Burgers cellular automaton model for bicycle flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 487(C), pages 164-177.
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    2. Shuxia Yang & Di Zhang & Jing Fu & Shujing Fan & Yu Ji, 2018. "Market Cultivation of Electric Vehicles in China: A Survey Based on Consumer Behavior," Sustainability, MDPI, vol. 10(11), pages 1-23, November.
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